Symmetry and compact embeddings for critical exponents in metric-measure spaces

dc.creatorGaczkowski M.
dc.creatorGórka P.
dc.creatorPons D.J.
dc.date.accessioned2021-10-19T19:01:05Z
dc.date.accessioned2024-05-02T15:09:03Z
dc.date.available2021-10-19T19:01:05Z
dc.date.available2024-05-02T15:09:03Z
dc.date.created2021-10-19T19:01:05Z
dc.date.issued2020-11
dc.identifierJournal of Differential Equations, Volume 269, Issue 11, Pages 9819 - 983715 November 2020
dc.identifier00220396
dc.identifierhttp://repositorio.unab.cl/xmlui/handle/ria/20554
dc.identifier10.1016/j.jde.2020.06.062
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/9263270
dc.description.abstractWe obtain a compact Sobolev embedding for H-invariant functions in compact metric-measure spaces, where H is a subgroup of the measure preserving bijections. In Riemannian manifolds, H is a subgroup of the volume preserving diffeomorphisms: a compact embedding for the critical exponents follows. The results can be viewed as an extension of Sobolev embeddings of functions invariant under isometries in compact manifolds. © 2020 Elsevier Inc.
dc.languageen
dc.publisherAcademic Press Inc.
dc.subjectCompact embedding
dc.subjectMetric-measure spaces
dc.subjectSobolev spaces
dc.subjectRicci Curvature
dc.subjectDoubling Measure
dc.titleSymmetry and compact embeddings for critical exponents in metric-measure spaces
dc.typeArtículo


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